光纤孤子的“双陷”型非线性管理

J4 ›› 2012, Vol. 29 ›› Issue (6): 754-758.

光纤孤子的“双陷”型非线性管理

郝瑞宇

长治学院电子信息与物理系, 山西长治 046011

收稿日期:2011-12-19 修回日期:2012-01-28 出版日期:2012-11-28 发布日期:2014-03-20
通讯作者: 郝瑞宇（1979-）山西阳泉人，博士，副教授，主要从事光孤子通信方面的研究。 E-mail:haoruiyu@yahoo.com.cn
基金资助:
TN929.1

Nonlinearity management for optical fiber solitons with the structure of double pitfalls

Hao Ruiyu

Department of Electronic Information and Physics,Changzhi University, Changzhi 046011, China

Received:2011-12-19 Revised:2012-01-28 Published:2012-11-28 Online:2014-03-20

摘要/Abstract

摘要：

为了研究光纤系统中由色散参量和 “双陷”型非线性参量可能导致的孤子现象，通过分步傅里叶数值算法求解了变系数（1+1）维非线性薛定谔方程。结果发现，光纤孤子在两种“双陷”型非线性光学系统中具有一系列有趣的性质，如单孤子脉冲在可变参量背景下由“双陷”型非线性结构诱发的周期性振荡；双孤子脉冲在常参量背景下由“双陷”型非线性结构诱导的走离效应；三个孤子脉冲在两种“双陷”型非线性光学系统中体现的特殊相互作用、融合效应等。

关键词: 非线性光学, "双陷"型非线性, 数值模拟, 光纤孤子

Abstract:

In order to investigate soliton phenomenon in optical fiber induced by the dispersion and the nonlinearity with the structure of double pitfalls, the (1+1)-dimensional nonlinear Schrödinger (NLS) equation with variable coefficients was discussed by employing a numerical split-step Fourier code. There exist a series of interesting properties of optical fiber solitons in two types of optical nonlinear systems with the structure of double pitfalls, such as the periodic oscillations of one soliton pulse induced by the nonlinear structure of double pitfalls based on the variable parameter background; the walk-off effect of two solitons induced by the nonlinear structure of double pitfalls based on the constant parameter background; the special interaction and the fusion reactions of three solitons in two types of optical nonlinear systems with the structure of double pitfalls.

Key words: nonlinear optics, nonlinear structure of double pitfalls, numerical simulations, optical fiber solitons

中图分类号:

TN929.1

郝瑞宇. 光纤孤子的“双陷”型非线性管理[J]. J4, 2012, 29(6): 754-758.

Hao Ruiyu . Nonlinearity management for optical fiber solitons with the structure of double pitfalls[J]. J4, 2012, 29(6): 754-758.

参考文献

[1] Nakazawa M, Kubota H, Suzuki K and Yamada E. Recent progress in soliton transmission technology[J].Chaos, 2000, 10 (3) : 486-514.
[2] Serkin V N and Hasegawa A. Exactly Integrable Nonlinear Schrödinger Equation Models With Varying Dispersion, Nonlinearity and Gain: Application for Soliton Dispersion Managements[J]. IEEE Journal of Selected Topics In Quantum Electronics, 2002, 8(3): 418-431.
[3] Serkin V N and Belyaeva T L. High-Energy Optical Schrödinger Solitons[J].JETP Lett., 2001, 74(12) : 573-577.
[4] Kruglov V I, Peacock A C and Harvey J D. Exact Self-Similar Solutions of the Generalized Nonlinear Schrödinger Equation with Distributed Coefficients[J]. Phys. Rev. Lett., 2003, 90(11): 113902(1-4).
[5] Hao Ruiyu, Li Lu, Li Zhonghao, Xue Wenrui and Zhou Guosheng. A new approach to exact soliton solutions and soliton interaction for the nonlinear Schrödinger equation with variable coefficients[J]. Opt. Commun., 2004, 236(1-3): 79-86.
[6] Hao Ruiyu, Li Lu, Yang Rongcao, Li Zhonghao and Zhou Guosheng. Exact chirped multi-soliton solutions of the nonlinear Schrödinger equation with varying coefficients[J]. Chinese Optics Letters, 2005, 3(3): 136-139.
[7] 卢洵，王东升.平均色散值为正和负的色散管理系统中光孤子传输特性数值模拟[J].量子电子学报，2011, 28 (1): 82-86. Lu Xun, Wang Dongsheng. Transmission characteristics of soliton in positive and negative average dispersion management systems[J].Chinese Journal of Quantum Electronics, 2011, 28 (1): 82-86. (in Chinese)
[8] 郝瑞宇，师晓娟，李录，周国生.在孤子控制下两个飞秒光孤子间的相互作用[J].光学与光电技术，2007, 5(4):44-46. Hao Ruiyu, Shi Xiaojuan, Li Lu, Zhou Guosheng. Interaction between two femtosecond optical solitons with soliton control[J]. Optics&Optoelectronic Technology, 2007, 5(4):44-46. (in Chinese)
[9] 郝瑞宇，李录，杨荣草，周国生.带弱“平台”皮秒光孤子的数值研究[J].光学与光电技术，2005, 3(2):4-5. Hao Ruiyu, Li Lu, Yang Rongcao, Zhou Guosheng. Numerical Study of Picosecond Optical Soliton with Weak “Platform” [J]. Optics&Optoelectronic Technology, 2005, 3(2):4-5. (in Chinese)
[10] 郝瑞宇，周国生.暗孤子的周期性再生效应[J].光学学报，2008, 28(s1): 131-133. Hao Ruiyu, Zhou Guosheng. Periodic Regeneration Effect of Dark Solitons[J]. Acta Optica Sinica, 2008, 28(s1): 131-133. (in Chinese)
[11] Mayteevarunyoo T, Malomed B A and Dong Guangjiong, Spontaneous symmetry breaking in a nonlinear double-well structure[J]. Phys. Rev. A , 2008, 78(5): 053601(1-12) .
[12] Serkin V N, Chapela V M, Persino J and Belyaeva T L. Nonlinear tunneling of temporal and spatial optical solitons through organic thin films and polymeric waveguides[J]. Opt. Commun., 2001, 192(3-6): 237-244.

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